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Finding the Fourth Proportional to 655.49, 982.53 and 289.78

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Solution

The fourth proportional to 655.49, 982.53 and 289.78 is: 434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.49 : 982.53 = 289.78 : x
  2. Step 2: Convert to fraction form
    655.49/982.53 = 289.78/x
  3. Step 3: Cross multiply
    655.49x = 982.53 × 289.78
  4. Step 4: Simplify right side
    655.49x = 284,715.09
  5. Step 5: Solve for x
    x = 284,715.09/655.49
  6. Step 6: Final answer
    x = 434.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.